English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Pro

Presents the zaia usage as premium feature

ZAIA

Presents AI Discovery search usage as a premium feature

AI Discovery

Presents AI Discovery explain and summary usage as a premium feature

Content Analysis

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Presents the pdf analysis as premium feature

PDF Analysis

1500 Top-up

3000 Top-up

Zendy Basic

2500 Top-up

Zendy Unlimited

Presents the access of premium content as premium feature

Premium Content

Consider a singular Riemannian foliation (s.r.f for short) on a compactmanifold. By successive blow-ups along the strata, we construct a regularRiemannian foliation on another compact Riemannian manifold and adesingularization map that projects leaves of the regular Riemannian foliationinto leaves of the s.r.f. This result generalizes a previous result due toMolino for the particular case of a singular Riemannian foliation whose leaveswere the closure of leaves of a regular Riemannian foliation. We also provethat, if the leaves of the s.r.f are compact, then, for each small epsilon, theregular foliation can be chosen so that the desingularization map induces anepsilon-isometry between the leaf space of the regular Riemannian foliation andthe leaf space of the s.r.f. This implies in particular that, the leaf space ofthe s.r.f is is a Gromov-Hausdorff limit of a sequence of Riemannian orbifolds.

Desingularization of singular Riemannian foliation